To find the surface area of the two-tiered steps, we need to calculate the surface area of each tier separately and then add them together.
First Tier:
- Length: 10 ft
- Width: 2 ft
- Height: 1 ft
Surface Area of First Tier = 2(lw + lh + wh)
Surface Area of First Tier = 2(10*2 + 10*1 + 2*1)
Surface Area of First Tier = 2(20 + 10 + 2)
Surface Area of First Tier = 2(32)
Surface Area of First Tier = 64 ft²
Second Tier:
- Length: 10 ft
- Width: 5 ft
- Height: 1 ft
Surface Area of Second Tier = 2(lw + lh + wh)
Surface Area of Second Tier = 2(10*5 + 10*1 + 5*1)
Surface Area of Second Tier = 2(50 + 10 + 5)
Surface Area of Second Tier = 2(65)
Surface Area of Second Tier = 130 ft²
Total Surface Area of the two-tiered steps = Surface Area of First Tier + Surface Area of Second Tier
Total Surface Area = 64 ft² + 130 ft²
Total Surface Area = 194 ft²
Therefore, the correct answer is not provided in the answer choices provided.
3 of 53 of 5 Items Question Use the image to answer the question. Find the surface area of the two-tiered steps. (1 point) Responses 879 in.2 879 in. squared 2,320.5 in.2 2,320.5 in. squared 1,171.5 in.2 1,171.5 in. squared 1,409.5 in.2 1,409.5 in. squared
1 answer